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3 years ago

Draw a quadrilateral with only one set of parallel

Mathematics

2 answers:

Talja [164]3 years ago

6 0

A trapaziod has one set of parrallel lines

swat323 years ago

4 0

A trapezoid would work perfectly.

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

5 0

3 years ago

*What is the perimeter of a square with side length 13.4 inches? Write the direct variation equation.

Zarrin [17]

Answer:

53.6 inches

p = 4s

Step-by-step explanation:

The perimeter of a square is four times the side

The direct variation equation is

p = 4s

p = 4 * 13.4

p = 53.6 inches

5 0

3 years ago

What’s the ratio of the distance?

Alik [6]

Answer:

B (2,8)

Step-by-step explanation:

7 0

3 years ago

Suppose you flipped a coin and then rolled a six-sided die. What is the probability of landing on

stealth61 [152]

Answer:

1/12

Step-by-step explanation:

The probability of landing heads is 1/2, the probability of rolling a 3 is 1/6. Multiply them to get the answer.

Hope this helped!

6 0

3 years ago

What is the slope of the line that passes through the point of (5,6),(5,9)?In simplest form.

lilavasa [31]

Answer:3/0=undefined

Step-by-step explanation:(5/6) and (5,9)

Slope: 9-6 = 3

5-5 = 0

5 0

3 years ago